Question

which sequence of transformations will carry the given pre - image onto the image shown with dashed lines?

Explanation:

Step1: Analyze rotation effect

A 90 - degree clockwise rotation of a rectangle changes its orientation. For a rectangle \(ABCD\), a 90 - degree clockwise rotation about a point will swap the \(x\) and \(y\) - coordinates (with appropriate sign changes depending on the center of rotation).

Step2: Analyze translation effect

After rotation, a translation is needed to move the rotated rectangle to the exact position of the image. A translation moves the entire figure without changing its shape, size or orientation further.

Answer:

Rotate 90° clockwise and then translate.